graph 56x- 19= -8y + 5
Answers
Answer/Step-by-step explanation:
Solve
Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:
[tex]56x-19=-8y+5[/tex]
[tex]56x-19+19=-8y+5+19[/tex] [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]
[tex]56x=-8y+24[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex] [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex][tex]\bold{x=\frac{-y+3}{7}}[/tex]
Graph
Now, we can graph. Graph the line using the slope and y-intercept, or two points.
[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]
[tex]x\\0\\1[/tex] [tex]y\\3\\-4[/tex]
Related Questions
please help me asap, pleaseee :/
ty ty :D
Answers
7x+8y=32
Just do pemdas
Answer:
7x+8y=32
Step-by-step explanation:
Hi there!
We are given the following equation:
[tex]y=-\frac{7x}{8} +4[/tex]
And we want to convert it into standard form
Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative
a is the coefficient in front of x and b is the coefficient in front of y
Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.
[tex]y=-\frac{7x}{8} +4[/tex]
+[tex]\frac{7x}{8}[/tex] +[tex]\frac{7x}{8}[/tex]
_________________
[tex]\frac{7x}{8} + y =4[/tex]
Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).
We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.
[tex]8(\frac{7x}{8} + y) =8(4)[/tex]
Now doing the distributive property:
[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]
Multiply each term by 8.
7x + 8y = 32
Hope this helps!
Find the unknown side (w) of the rectangular solid. Please help..
Answers
Answer:
W= 2
Step-by-step explanation:
What is the function of the line with a slope of 1/5
that goes through the point (-1,5)
Answers
Y= 1/5x + c
Now you can find see by simply just replacing with the given points
5=1/5(-1)+c
C= 26/5
Final answer:
Y= 1/5x+26/5
A right rectangular prism has edges of 8 feet, 4 feet, and
1/ foot.
How many cubes with side lengths of
1/2
foot would be needed to fill the prism?
Answers
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you !!The property of 12x2-7=6-2x2+2
Answers
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
i need help with the second part pls
Answers
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2
The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?
Answers
Answer:
a
Step-by-step explanation:
The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function approaches -∞ as x approaches -∞ is,
[tex]F(x) = \dfrac{x+6}{x-6}[/tex]
The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.
Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
To know more about functions follow
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Please find the surface area of the prism... I will mark you brainliest
Answers
Answer:
The surface area = 548 in²
Step-by-step explanation:
The surface Area = 2lw + 2lh + 2wh using l = 10 in, w = 7 in, and h = 12in.
Substitute into the formula and solve
2lw + 2lh + 2wh
= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12
= 140 + 240 + 168
= 548 in²
4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?
Answers
Answer:
$14.61
Step-by-step explanation:
14.05 * 1.04 = 14.612
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answers
Answer:
Cy-Cx=10,000 this is the best answer ever
3х + 4y= 4
12х + 16y = 8
Answers
Answer:
No Solution.
Step-by-step explanation:
3x+4y=4
12x+16y=8
--------------
-4(3x+4y)=-4(4)
12x+16y=8
--------------------
-12x-16y=-16
12x+16y=8
-----------------
0=-8
no solution
HELP PLZZ! DUE IN 15 MIN!
Answers
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Can someone please tell me the answer
(20 points)
Answers
Answer:
the aswer is B
Step-by-step explanation:
A cylinder has a height of 4 centimeters. Its volume is 12.56 cubic centimeters. What is the radius of the cylinder?
Answers
Step-by-step explanation:
hope it will help you...
Answer:
radius of cylinder = 1 cm
Step-by-step explanation:
Start with the formula for the volume of a cylinder: V = (pi)r²h, where r is the radius and h is the height. We want to solve this for the radius, r.
Dividing both sides of the Volume formula (above) by (pi)h, we get:
V
r² = -----------
(pi)h
If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:
V 12.56 cc
r² = ---------- = ----------------- = 1 cm²
(pi)h 3.14(4 cm)
Taking the square root of both sides, we get r = 1 cm
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Answers
Answer:
Step-by-step explanation:
68 1/4
The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.
What is a mixed fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Assume the distance covered before their first stop for gas be 'x'
Total distance travelled is 381 miles
We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is
x + 3x + 58 3/4 = 381
4x + 58 3/4 = 381
x=68 1/4 in mixed fraction
To know more about improper fraction visit:
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please help will give brainliest
Answers
Answer:
Look at the pictures (they are color coded)
red is 1st
blue is 2nd
green is 3rd
black is 4th
Find three consecutive odd integers whose sum is 45
Answers
Answer:
13, 15, 17
Step-by-step explanation:
First divide 45/3=15
Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.
Finally add up 13+15+17 to get 45.
You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Answers
Answer:
B Exponential
Step-by-step explanation:
Hope this helps
The equation for the fruit fly population doubling every 3 hours would be exponential.
Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.
The general form of an exponential growth function is given by: y = a * b^x
Where:
- y is the final quantity or population size after x intervals of time.
- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).
- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).
- x is the number of intervals of time (in this case, the number of 3-hour periods).
In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.
To know more about population:
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A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answers
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answers
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
please help.
with the steps.
just b, please
Answers
Answer:
x² +3x -50 = 0
Step-by-step explanation:
The area expression you got in part (a) is ...
A = (x +8)(x -5) = x² +3x -40
If the area is to be 10, then x must satisfy the equation ...
10 = x² +3x -40
x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form
Solve:
A.152
B.176
C.5
D.27
Answers
Answer:
Option B
176
Step-by-step explanation:
take 11 to the next side of the equation making the division multiplication getting us 16×11=176
What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?
Answers
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
Mr. Glenn is making 30 school supply baskets. notepads come in packs of 5. Erasers come in packs of 15 and markers come in packs of 3. what is the least number of each package she should buy to have 1 item in each basket and no supplies left over
Answers
30/5=6
30/15=2
30/3=10
Why do we not use a Leg-Leg (LL) Theorem that says if you know that the legs of two right triangles are congruent, then the triangles are congruent?
A. This information is not sufficient to prove triangles congruent.
B. This case is already covered by the HL Theorem.
C. This case is already covered by the SSS Postulate.
D. This case is already covered by the SAS Postulate.
Answers
In the xy-plane, line k passes through the points (0, -4) and (1,-1). Which equation defines
line ?
Answers
Answer:
y=3x-4
Step-by-step explanation:
i just need to know if this is correct and if i need to fix anything
Answers
Answer:
You are correct. Good job and merry Christmas, have a good day.
Answer:
Your answer is correct
Step-by-step explanation:
You don’t need to change anything because (-3, 12) is correct!
hope that helps! ❤️❤️❤️❤️
how many students are in the year group?
Answers
Answer:
372
Step-by-step explanation:
How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...
Missing: group | Must include: group
Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answers
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)if you take 3/4 of 1 3/5 how much do you have
Answers
Answer:
1 1/5
Step-by-step explanation:
1.6*3/4
4.8/4
1.2
1 1/5
Therefore, the answer is 17/20.
Hoped this helped.
[tex]BrainiacUser1357[/tex]